Abstract
In this work we describe the class of distribution functions with decreasing α-percentile residual life [DPRL(α)], 0 < α < 1. The close relationship between the aging notion DPRL(α) and increasing failure rate (IFR) will be discussed, as well as the relationship between the DPRL(α) and the percentile residual life orders. Besides, we introduce an estimator of the percentile residual life function, under the condition that it decreases, in the censored and the non-censored case. Finally, a real data illustration is provided.
Keywords
- Primary Biliary Cirrhosis
- Residual Life
- Quantile Function
- Primary Biliary Cirrhosis Patient
- Hazard Rate Function
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Franco-Pereira, A.M., de Uña, J., Lillo, R.E., Shaked, M. (2013). Decreasing Percentile Residual Life: Properties and Estimation. In: Li, H., Li, X. (eds) Stochastic Orders in Reliability and Risk. Lecture Notes in Statistics(), vol 208. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6892-9_9
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